The development of half-circle fuzzy numbers and application in fuzzy control

摘要

There has been increasing interest in fuzzy theory in recent years, yet there are many issues to be resolved, mainly on topics related to controller design, such as the field of robot, artificial intelligence, and nonlinear systems etc. This study focuses on the development of triangular fuzzy numbers, the revising of triangular fuzzy numbers, and the constructing of a half-circle fuzzy number (HCFN) model, which can be utilized to perform more plural operations. They are further transformed for trigonometric functions and polar coordinates. From HCFNs we can conceive cylindrical fuzzy numbers, which work better in algebraic operations. An example of fuzzy control is given in a simulation to show the applicability of the proposed HCFNs.